Constrained Nonlinear Regression

Notes
Output Created		21-FEB-2002 18:42:38
Comments		 
Input	Data	N:\YTO\TCDD\ABC kannat\SPSS\s242_abc_spss_US.sav
	Filter	wla = 1 (FILTER)
	Weight	<none>
	Split File	<none>
	N of Rows in Working Data File	70
Syntax		MODEL PROGRAM ED=1.46 GSD=1.023 EMIN=1.58 EMAX=3.53 .
COMPUTE PRED_ = emin+(emax-emin)*(CDF.NORMAL(lg10(dose),ed,gsd)).
CNLR bilirubi
  /OUTFILE='C:\TEMP\spss194\SPSSFNLR.TMP'
  /PRED PRED_
  /BOUNDS ED <= 3.477; ED >= -2; GSD <= 1.699; GSD >= .01; EMIN >= 0
  /BOOTSTRAP
  /CRITERIA STEPLIMIT 2 ISTEP 1E+20 .

Resources	Elapsed Time	0:00:01.91

All the derivatives will be calculated numerically.




  Iteration Residual SS          ED         GSD        EMIN        EMAX

     0.3    55.04233980  1.46000000  1.02300000  1.58000000  3.53000000
     1.1    54.85964412  1.51163580  1.04030580  1.55367523  3.48412139
     2.1    54.54915014  1.66095459  1.09035018  1.65463988  3.52000951
     3.2    53.38217442  2.26821182  1.29387317  1.62260387  4.10289059
     4.1    53.01481144  2.07805015  1.69900000  1.48504446  4.26187430
     5.1    52.76840518  2.30767409  1.69900000  1.52655991  4.39138112
     6.1    52.66509760  2.55843688  1.69900000  1.57609825  4.60544317
     7.1    52.61477077  2.61117601  1.69900000  1.58058885  4.69685969
     8.1    52.55901921  2.71077819  1.69900000  1.58465616  4.88542818
     9.1    52.55055792  2.78927003  1.69900000  1.59577978  4.99598316
    10.1    52.54909528  2.80820011  1.69900000  1.59827258  5.03790511
    11.1    52.54900832  2.81783151  1.69900000  1.59910952  5.04997237
    12.1    52.54900606  2.81670643  1.69900000  1.59905540  5.04859852
    13.1    52.54900606  2.81672663  1.69900000  1.59905402  5.04863689

Run stopped after 13 major iterations.
Optimal solution found.


Nonlinear Regression Summary Statistics     Dependent Variable BILIRUBI

  Source                 DF  Sum of Squares  Mean Square

  Regression              4      406.46099      101.61525
  Residual               66       52.54901         .79620
  Uncorrected Total      70      459.01000

  (Corrected Total)      69       90.08871

  R squared = 1 - Residual SS / Corrected SS =     .41670

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  ED         2.816726628  2.800930488 -2.775511524  8.408964780
  GSD        1.699000000  1.814756785 -1.924278827  5.322278827
  EMIN       1.599054019   .265583413  1.068799626  2.129308412
  EMAX       5.048636886  4.442516437 -3.821133362 13.918407135

  Asymptotic Correlation Matrix of the Parameter Estimates

                  ED       GSD      EMIN      EMAX

  ED          1.0000     .9517    -.5129     .9952
  GSD          .9517    1.0000    -.6894     .9557
  EMIN        -.5129    -.6894    1.0000    -.5534
  EMAX         .9952     .9557    -.5534    1.0000




Bootstrap statistics based on 100 samples

                                     95% Conf. Bounds     95% Trimmed Range
  Parameter  Estimate  Std. Error    Lower      Upper      Lower      Upper

  ED         2.8167266   .8050290  1.2193745  4.4140787   .7204648  3.4770000
  GSD        1.6990000   .7602463   .1905064  3.2074936   .0100000  1.6990000
  EMIN       1.5990540   .2691783  1.0649459  2.1331621  1.3501584  2.2101449
  EMAX       5.0486369  2.1093010   .8633261  9.2339477  2.7666667 10.1003546

  Bootstrap Correlation Matrix of the Parameter Estimates

                  ED       GSD      EMIN      EMAX

  ED          1.0000    -.1518     .4937     .6477
  GSD         -.1518    1.0000    -.8753     .3115
  EMIN         .4937    -.8753    1.0000    -.0478
  EMAX         .6477     .3115    -.0478    1.0000

